Sheila was born in New York. She moved to
California and lived there twice as long as
she lived in New York. Then she moved to
Montana, where she has lived for 8 years.
She is now 62 years old. How long did she
live in New York?

Answer:

134=2x

X= 67

hope it helps

Answer:

no, 71.106 is greater

Step-by-step explanation:

71.08= 71 and 8/100

71.106= 71 and 10/100

71.106's fraction is larger

Answer:

22 and 2/3

Step-by-step explanation:

17/6= 2.8333333

2.8333333333 multiplied by 8= 22.66666666 or 22 and 2/3

Answer:

810 is 100 times the size of 0.81

Answer:

44 inches and 24 inches

Step-by-step explanation:

Let [tex]l,b[/tex] denotes length and breadth of a rectangle.

[tex]lb=1056[/tex]

A square of 3 inches is cut from each corner, and an open box is made by turning up the ends and sides.

New length [tex]=l-6[/tex] inches

New breadth [tex]=b-6[/tex] inches

Height of box [tex]=3[/tex] inches

Volume of box = length × breadth × height

[tex](l-6)(b-6)3=2052[/tex]

[tex]lb-6l-6b+36=684\\6(l+b)=408\\l+b=68\\b=68-l[/tex]

Put [tex]b=68-l[/tex] in [tex]lb=1056[/tex]

[tex]l(68-l)=1056\\l^2-68l+1056=0\\l^2-44l-24l+1056=0\\l(l-44)-24(l-44)=0\\(l-24)(l-44)=0\\l=24,44[/tex]

At [tex]l=24,b=\frac{1056}{24}=44[/tex] inches

At [tex]l=44,b=\frac{1056}{44}=24[/tex] inches

Answer:

Step-by-step explanation:

x is the third side

x² + 32² = 68²

x² = 68² - 32² = 3600

x = √3600 = 60

Answer:

im sooooo confused

Step-by-step explanation:

expression for "12 times 1."  -> 12*1

true

oops, i read it wrong LOL, it's true. .65 is less than .75

Answer:

(x-4)(x-3)

Step-by-step explanation:

x^2 - 7x + 12

Find what will multiply to make 12 and add to -7

(x - 4)(x - 3)

Answer:3.294. Hope this helps!

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

20 ÷ 5 × 2 = 8

_________________

( 20 ÷ 5 = 4 × 2 = 8 )

full equation ^^

Answer:

Step-by-step explanation:

Height = √(90^2-63^2) = √4131 ≈ 64 ft

Answer:

m(arc CD) = 14.1 cm

Step-by-step explanation:

Measure of an arc of the circle = [tex]\frac{\theta}{360}(2\pi r)[/tex]

Here 'r' = radius of the circle

θ = Angle subtended by the arc at the center of the circle

From triangle OED,

sin(∠EOD) = [tex]\frac{ED}{OD}[/tex]

sin(∠EOD) = [tex]\frac{\frac{12.7}{2}}{9.06}[/tex]

                 = [tex]\frac{6.35}{9.06}[/tex]

                 = 0.7

m∠EOD = 44.498

              ≈ 44.5°

Angle subtended by the arc CD at the center = m∠COD

                                                                            = 2(44.5)

                                                                            = 89°

m(arc CD) = [tex]\frac{89}{360}(2\pi)(9.06)[/tex]

                 = 14.07

                 ≈ 14.1 cm

Answer:

x=122

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

This graph represents the inequality x < 2. you may be confused as to why the answer is not x ≤ 2, but the circle at the start of the line is not shaded in. This tells us that an answer to this inequality cannot be x

Answer:

l=13 ft

w=6.5 ft

Step-by-step explanation:

a rectangular garden would have 4 sides

two of the sides are x feet long

and the other two sides are 2x feet long

therefore

x+x+2x+2x=39

which is the same as saying

6x=39

divide both sides by 6 to get

x=6.5

so the width is 6.5 feet and the length is twice that or 13 feet

Answer:

-4

Step-by-step explanation:

Divide each side by '-1'.

p = -4

Simplifying

p = -4

Step-by-step explanation:

Height of tower - 80m

Distance between foot of tower and boat 1 = x

Distance between boat 1 and boat 2 =y

Tan 45 = 1 = 80/x

x = 80

Tan 30 = 1 / root 3 = 80 / 80 + y

y = 80 root 3 + 80

Answer:

seventeen degrees(17⁰)

Answer:

Step-by-step explanation:

2. -x+4+3x+2=2x+6

3. -x-2-4x-3=-5x-5

4.-36-24=-60

5.  9+10-6-6=7

Step-by-step explanation:

x+2x+6x=180

9x=180

x=20°

m<A = 20°

Answer:

D) 31

Step-by-step explanation:

2x-7+2x+63=180

4x+56=180

4x=180-56

4x=124

x=124/4

x=31

Answer:

(d) x = 31

Step-by-step explanation:

(2x)° + (2x - 7)° + 63° = 180°

4x - 7 + 63 = 180

4x = 180 - 56

4x = 124

x = 31

Answer:

Y = x+3

Step-by-step explanation:

You want to start by figuring out how to get Y alone.

So to get it alone so you add +3 on both sides

Y - 3 = x

+3. +3

Positive 3 and Negative 3 cancel out making it zero.

Visual: 3 - 3 = 0

Since you cant take or add anything from x you leave it as + 3 so the answer should be.

Y = x + 3

I hope I could help :)

Answer:

2 1/4 or 9/4

Step-by-step explanation:

9/10÷4/10= 9/10*10/4

now simplify the 10

9/1 * 1/4= 9/4

now turn it into a mixed number

2 1/4

Answer:

2.25, 9/4 or 2 1/4

Step-by-step explanation:

Answer:

1. P = [tex]\frac{I}{rt}[/tex]

2.  y = [tex]\frac{6 - 3x}{11}[/tex] or [tex]\frac{-3x +6}{11}[/tex]         (depending on how you want the equation arranged)

3. c = [tex]\frac{a-bd}{b}[/tex]

4 t = [tex]\frac{A - p }{pr}[/tex]

Step-by-step explanation:

1. I =Prt for P:

I = Prt                           divide both sides by rt to isolate P

P = [tex]\frac{I}{rt}[/tex]

2. 3x + 11y = 6 for y

   3x + 11y = 6                  subtract 3x from both sides

   11y = 6 - 3x                   divide both sides by 11

   y = [tex]\frac{6 - 3x}{11}[/tex] or [tex]\frac{-3x +6}{11}[/tex]         depending on how you want the equation arranged

3. a = b(c + d) for c

   a = b(c + d)                distribute b to (c+d)

   a = bc + bd                subtract bd from both sides

   a - bd = bc                 divide both sides by b

   c = [tex]\frac{a-bd}{b}[/tex]

4. A = p + prt for t

   A = p + prt                   subtract p from both sides

   A - p = prt                    divide both sides by pr

   t = [tex]\frac{A - p }{pr}[/tex]